Notes on multiple periodic solutions for second-order discrete Hamiltonian system |
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| Authors: | Liang Ding |
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| Affiliation: | Mathematical College, Sichuan University, Chengdu, Sichuan, P.R. China |
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| Abstract: | By a new orthogonal direct sum decomposition EM = Y⊕Z, where Z is related to Δui(i = 1, 2, 3, …, M), and a new functional I(u), the method by Guo and Yu is improved to obtain new multiple periodic solutions with a negativity hypothesis on F for a second-order discrete Hamiltonian system. Moreover, we exhibit an instructive example to make our result more clear, which has not been solved by known results. |
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| Keywords: | Second-order Hamiltonian system periodic solutions critical points |
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